Area of research
Computational Mechanics · Computational Theory and Mathematics
Research interest
Research interests include Advanced Numerical Methods in Computational Mathematics, Advanced Mathematical Modeling in Engineering, Numerical methods in engineering, and Matrix Theory and Algorithms.
Multiplication in Sobolev spaces, revisited
3D mesh processing using GAMer 2 to enable reaction-diffusion simulations in realistic cellular geometries
3D mesh processing using GAMer 2 to enable reaction-diffusion simulations in realistic cellular geometries.
Improvements to the <scp>APBS</scp> biomolecular solvation software suite
Domain Decomposition Methods in Science and Engineering XX
Multilevel preconditioners for discontinuous Galerkin approximations of elliptic problems with jump coefficients
Modeling Calcium Dynamics in Rabbit Ventricular Myocytes with Several Realistic T-Tubules Subject to Detubulation
Modelling cardiac calcium sparks in a three‐dimensional reconstruction of a calcium release unit
Geometric Variational Crimes: Hilbert Complexes, Finite Element Exterior Calculus, and Problems on Hypersurfaces
Modeling Effects of L-Type Ca2+ Current and Na+-Ca2+ Exchanger on Ca2+ Trigger Flux in Rabbit Myocytes with Realistic T-Tubule Geometries
How Spatiotemporal Clustering of L-Type Ca2+ Channels Regulates Ca2+ Signals in Rat Ventricular Myocytes?
Collaborative Research: Construction and Properties of Sobolev Spaces of Differential Forms on Smooth and Lipschitz Manifolds with Applications to FEEC
Collaborative Proposal: Workshop on Numerical Modeling with Neural Networks, Learning, and Multilevel Finite Element Methods
Numerical Methods for Geometric Partial Differential Equations with Applications in Numerical Relativity
Numerical Methods for Geometric PDE on Manifolds with Arbitrary Topology
FRG: Collaborative Research: Analysis of the Einstein Constraint Equations
Collaborative Research: Adaptive Methods and Finite Element Exterior Calculus for Nonlinear Geometric PDE
FRG: Collaborative Research: Error Quantification and Control for Gravitational Waveform Simulation
MRI: Acquisition of a Parallel Computing and Visualization Facility to Enable Integrated Research and Training in Modern Computational Science, Mathematics, and Engineering
Collaborative Research: Finite Element Methods for Discretizing Geometric PDEs with Nonlinear Constraints and Gauge Freedom
Parallel Computing and Visualization Infrastructure for Scientific Computation
Collaborative Research: Numerical Methods for Nonlinear Diffusion Problems
Scientific Computing Research Environments for the Mathematical Sciences (SCREMS)
CAREER: Adaptive multilevel finite element methods with applications to biomolecules and gravitation